2.4. Algebraic and Congruence Properties http://www.ck12.org
Use the diagram to answer questions 20-25.
- Name a right angle.
- Name two perpendicular lines.
- Given thatEF=GH, isEG=F Htrue? Explain your answer.
- Is^6 CGHa right angle? Why or why not?
- Using what is given in the picture AND^6 EBF∼=^6 HCG, prove^6 ABF∼=^6 DCG. Write a two-column proof.
- Using what is given in the picture ANDAB=CD, proveAC=BD. Write a two-column proof.
Use the diagram to answer questions 26-32.
Which of the following must be true from the diagram?
Take each question separately, they do not build upon each other.
26.AD∼=BC
27.AB∼=CD
28.CD∼=BC
29.AB⊥AD
30.ABCDis a square
31.ACbisects^6 DAB- Write a two-column proof.Given: Picture above andACbisects^6 DABProve:m^6 BAC= 45 ◦
- Draw a picture and write a two-column proof.Given:^6 1 and^6 2 form a linear pair andm^61 =m^6 2.Prove:
(^6) 1 is a right angle
Review Queue Answers
- First, subtract 3 from both sides and then divide both sides by 2.x= 3
- If 2 angles are a linear pair, then their sum is 180◦. Law of Syllogism.